Special Right Triangles Answers

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5

Consider the incomplete paragraph proof.Given: Isosceles right triangle XYZ (45°–45°–90° triangle)Prove: In a 45°–45°–90° triangle, the hypotenuse is times the length of each leg.

Question illustration
S
Substitute values for a and c into the original Pythagorean theorem equation.
D
Divide both sides of the equation by two, then determine the principal square root of both sides of the equation.
D
Determine the principal square root of both sides of the equation.
D
Divide both sides of the equation by 2.
6

Which statements regarding triangle DEF are correct? Select three options.

A
EF is the longest side of △DEF.
B
DF = 6 cm
C
DE = cm
Option C
D
DF = cm
Option D
E
DE = cm
Option E
8

Which triangle is a 30°-60°-90° triangle?

Question illustration
A
A triangle has side lengths of 5, 10, and 5 StartRoot 3 EndRoot.
Option A
B
A triangle has side lengths of 5, 15, and 5 StartRoot 3 EndRoot.
Option B
C
A triangle has side lengths of 5, 10, and 10 StartRoot 3 EndRoot.
Option C
D
A triangle has side lengths of 10, 15, and 5 StartRoot 3 EndRoot
Option D

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